{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Basic Bayesian Linear Regression Implementation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING (theano.tensor.blas): Using NumPy C-API based implementation for BLAS functions.\n"
     ]
    }
   ],
   "source": [
    "# Pandas and numpy for data manipulation\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "\n",
    "# Matplotlib and seaborn for visualization\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline \n",
    "\n",
    "import seaborn as sns\n",
    "\n",
    "# Linear Regression to verify implementation\n",
    "from sklearn.linear_model import LinearRegression\n",
    "\n",
    "# Scipy for statistics\n",
    "import scipy\n",
    "\n",
    "# PyMC3 for Bayesian Inference\n",
    "import pymc3 as pm"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hideCode": false,
    "hidePrompt": false
   },
   "source": [
    "# Load in Exercise Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>index</th>\n",
       "      <th>User_ID</th>\n",
       "      <th>Gender</th>\n",
       "      <th>Age</th>\n",
       "      <th>Height</th>\n",
       "      <th>Weight</th>\n",
       "      <th>Duration</th>\n",
       "      <th>Heart_Rate</th>\n",
       "      <th>Body_Temp</th>\n",
       "      <th>Calories</th>\n",
       "      <th>Intercept</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>14733363</td>\n",
       "      <td>male</td>\n",
       "      <td>68</td>\n",
       "      <td>190.0</td>\n",
       "      <td>94.0</td>\n",
       "      <td>29.0</td>\n",
       "      <td>105.0</td>\n",
       "      <td>40.8</td>\n",
       "      <td>231.0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>14861698</td>\n",
       "      <td>female</td>\n",
       "      <td>20</td>\n",
       "      <td>166.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>94.0</td>\n",
       "      <td>40.3</td>\n",
       "      <td>66.0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>11179863</td>\n",
       "      <td>male</td>\n",
       "      <td>69</td>\n",
       "      <td>179.0</td>\n",
       "      <td>79.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>38.7</td>\n",
       "      <td>26.0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3</td>\n",
       "      <td>16180408</td>\n",
       "      <td>female</td>\n",
       "      <td>34</td>\n",
       "      <td>179.0</td>\n",
       "      <td>71.0</td>\n",
       "      <td>13.0</td>\n",
       "      <td>100.0</td>\n",
       "      <td>40.5</td>\n",
       "      <td>71.0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4</td>\n",
       "      <td>17771927</td>\n",
       "      <td>female</td>\n",
       "      <td>27</td>\n",
       "      <td>154.0</td>\n",
       "      <td>58.0</td>\n",
       "      <td>10.0</td>\n",
       "      <td>81.0</td>\n",
       "      <td>39.8</td>\n",
       "      <td>35.0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   index   User_ID  Gender  Age  Height  Weight  Duration  Heart_Rate  \\\n",
       "0      0  14733363    male   68   190.0    94.0      29.0       105.0   \n",
       "1      1  14861698  female   20   166.0    60.0      14.0        94.0   \n",
       "2      2  11179863    male   69   179.0    79.0       5.0        88.0   \n",
       "3      3  16180408  female   34   179.0    71.0      13.0       100.0   \n",
       "4      4  17771927  female   27   154.0    58.0      10.0        81.0   \n",
       "\n",
       "   Body_Temp  Calories  Intercept  \n",
       "0       40.8     231.0          1  \n",
       "1       40.3      66.0          1  \n",
       "2       38.7      26.0          1  \n",
       "3       40.5      71.0          1  \n",
       "4       39.8      35.0          1  "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "exercise = pd.read_csv('data/exercise.csv')\n",
    "calories = pd.read_csv('data/calories.csv')\n",
    "df = pd.merge(exercise, calories, on = 'User_ID')\n",
    "df = df[df['Calories'] < 300]\n",
    "df = df.reset_index()\n",
    "df['Intercept'] = 1\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Plot Relationship"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgAAAAH9CAYAAABsnMSgAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAIABJREFUeJzs3XmcXHWd7//Xp5cEEhwhISKC6UbFJbig9qAODkaCiqiDs+iorYTgGKR1DOpvZtTce8Vx4mwuNzomTs+QELGVwZ1RRgUEF1ywI8h6xYjdAUEIQRAI2Tqf3x/fc+zq6lPLOV3LqTrv5+PRj+rzqXOqvlV1qs7nfM93MXdHREREiqWn3QUQERGR1lMCICIiUkBKAERERApICYCIiEgBKQEQEREpICUAIiIiBaQEoMOY2VVm1vS+m2Z2gZm5mQ02+7nqKIub2VXtLke7teqzl8rM7Lxof1ze7rLMhZn9gZl93MwmzGx/9JqOb3e52ilPv3mtogSgwczsqWb2CTO70cweMLO9ZnanmX3dzN5sZge1u4wizWBmg9EPaOnfI2Z2j5n9yMz+zcz+uN3lrMbMzozKfWa7y9Jk/wL8NXAD8I/AB4DfVNsgTkBr/J3X/KJLo/S1uwDdxMz+D/B+QmL1I2AL8BBwBLAc+E/gHGCoTUVM473APwG/bndBpOM8APzf6P8+YBHwLMK+/zYz+xZwhrvf3abyzcW/ARcB29tdkDl6JXCru78qw7ZbgIkK912VtUA5ULjfPCUADWJm7yNk0bcDr3H3Hyes80rg3a0uWxbufhdwV7vLIR3pfnc/rzxoZk8AzgdeCnzDzF7g7rtbXbi5cPd7gXvbXY4GeBzw3YzbXuDuVzWwLLlQyN88d9ffHP+AQWBv9Pf0GuvOL1s+E/gicBvwCPA74GrgjRW2vyp8bLPiPcBbgZ8Qah0ejv4/B+hJWN+jx3osoWbi18AUcGZ0/wXROoMJ2z4P+AKhynAvIen5d+BxCes+ARgFtkWv7z5CteOngMV1vr9xWR8HXAjcEz3WVuANCeufGW1zZrXHK4udF8WXA28Afhy9jxMln7FH78sg4SzwXmA3MA68skr5Xw9cCfw2Wv8W4H+V7wsl678uem2PRK/1wui1J372CdsfBNwfbdtXYZ1PRa/nFSWxPwb+G7gD2BN9vj8C3p/ie+Dxe1ZhnQXR63fg3FqfS8l9s/bHss/kycB/Ra/5ALA8Wue5wHrgZ9G+txv4BfAR4LCk71aFv8Hy/SShjCuAb5Q8z62EM8pHV/oeE07C3heVaQ/hu/TPwLx63vOSxzsS+CThzHwvsAP4EvDcOl9j4vteYdtZrz1h3XmE3x8H/iTh/guj+/7XXL4v1PgdK9nn/o7wPX2Q8L2+Bfg4cES1fSyK/wlwBSE52APcCXwHGEkozyLCJZVbCN/fB6JtX5rm82zVn2oAGmMV0A9c5O43VlvR3feUhTYCNxOy8buAxcBpwIVm9hR3/991luFCwoHrdsIXwYE/BTYALwSGE7ZZRPiBf4jwY3EAqFota2argP8gfBEuiZ7vWOCvgFeZ2fPdfXu07pGEH4E/AC4lJDoHAccAbyJUp+6s8/UdBvyAcGDbDBwKvBYYM7Oj3P1f63ycWt4NvIRwILwSeHTZ/QPANYSE7ULCe/iXwFfN7BR3v7J0ZTM7HziLcFD9UlT+5wMfBFaY2UvcfX/J+u8EPhqt9+no9mXRa3+gnhfg7rvN7L+A1cDLo9dSWqb5hPfubuCbUexU4OuEBPQSwg/pIuBpwAihdmvO3H2XmX2YsI8OM32pYC6eSEjYbgXGgIMJrwPgLYTvwXeAy4Fe4DnAu4CXm9nz3P3BaN0LCO/36cBXgetKnuP+agUws7MJ3+WHgc8TEpHlhAPPq8zsRHdPeozPEhKv/4nKfBrwt8BjCL8rNZnZMcD3CUnit4HPAY8HXgO8wsz+3N2/VvIaryJcqpyMlqFylX4m7r7XzP4SuBbYbGbHu/vtUXlXAW+MyvqhsteS6vsSqfg7ZmaHEb7HzwJ+DmwiJEhPjJ7nS1T5zTOz1YSTm98Qvkf3Ej6bZxI+nw0l6w4Q3ttB4HuEZHAh4XLLN8zsbHf/j1rvXUu1OwPphj9ChufAX2XY9okJsXnRY+4Djiq77yrKzgIJGbMDPwUOKYkvJGS9TtmZMtOZ/6dJOEsk+YzryYQvz7aEcp1MyLy/XBL76+gx1iQ8/kLg4Drfo7isF1NSm0FIJO6LyvSEkviZZK8BeBh4dsI2gyXleH/ZfS+L4peWxeNyfKn8tZY835qy59gTvabS972HkDx5+Wdf5T17QbT+FxLue01030dKYvHjPyth/cPrfM74PZqotc9H6+0v3feSPpca+2PpZ/KhCtsNAL0J8TdH2/1dhc+s0r4Tf27Ly55jD+EA/tSy9TdE64+Wxa+K4luBRWXfi22E79Jj63zfvxk91tqy+B9F7/FOSn4Xar3XVZ4nLvMF0fuQ9PfYsm1eG23zPULy9TTCd+zuhHXj976u70vJ66j2O/bZ6P6NlNWEAo+ipHamwj62NfpsH1PrexG9PweA15XFDyUkk49QUuOQh7+2F6Ab/ghn8A6c2sDH/LPoMc8oi1/F7ATgsmjdWdVMhGpJB75dFvdKO3Z0f9KX4WOUVRuXbfPl6AfnUdFynACsnuN7ER8sjkm4L/5heH9JLP4hObPK411V4XE+VmGbwej+CZIPKJPAvWWxawlJ3KEJ6/cSziauKYmtjZ7jAwnrP4FwUPCk8lUo88+jz3hRWfxr0fM8syQWJwBPnsPn9Pv3qMZ6BzH9w/2YknjWBOA3VLicUqUMRqhRKf9e1Np34v1kecLnNisJIdRc/Y7w4z+/JH5VtM0pCdt8ILqv4mWlknWPjtadBPoT7o+r2st/R+aSAFT7Oz5hu/hy04cJl/8OkPxbler7UvI6Kh2gHxN9Z+4EFtbx+pL2sa2EhOWwGts+K9r28xXuPz26f9Zlg3b+6RJAY1h066k3NFtKqCZcASwlVF+WOqqOh3kO4Ut1VcJ93yF8CZ6dcN+Eu99Td2HDWSXAi8zsDxPufwzhi/pkwhfnEkIV3yfN7GWEM5WrgZs9+laksN3df5UQv4pQnZn0+rK4psb917n7VEL8dqbfH8xsAeFH4V7gXDNL2IQ9hDOi2HOi2++Ur+jut5nZ7YSzzXptAdYR2hRsiMp1BKHG4lp3v75k3TFC0vnj6PLBlcDV7n5HiuerV+mbkfo7k+BnPvvSWngis37gbMJ7sIxwSae0+3M9369a4s/t2+V3uPtvzexa4CTgqYS2CKXGEx7v9uj2sDqeO97vv+fu+xLu/zahuv3ZhLPkRnixp2sEeC6hNiJuAP2P7v6t0hUyfl9ilX7H/pDwWX/X3R9OUd5SY4T2IjdF34vvEL4XO8rWi7/7j67QFXJJdJtU/rZRAtAYdxK+3Een2ShqFX0N4Yv+PeBbhLOSKcLZzUpgfh0P9WjgPnffW36Hu+83s/i6Vbmq/X4TLI5u/6bGeodEzz1pZicQzppOJRxgAG43sw+7+8dTPHel63Txayi/Vp9Vrfek0rXg/cw8sBxGONAtISQo9YhfQ7XXmiYB+DTh2ulKpq9VDhO+91tKV3T3L5X0UjmLcNDEzLYC73X3y1I8by2Pi26nCA295qraZ/ZfhDYAtxGu6/+GcCCBcGCq5/tVS/y5VWpBHscPLb/Dk9sFxNe4e5v53K3ioU3K14FnEF7bJxNWy/J9iVX6/OPXnLlbn7t/NPr9HAHeQdhn3My+A/yNu8cJXPzb+JLor5JDspalGTQQUGN8P7pdkXK7dxF2nDe7+3J3f4e7/28PXai+meJxHgAWRWc7M5hZH3A4042iSqU9+4oboT3a3a3K3+/PYN39Fnf/S8LrHALeQ9jv1pvZm1M89xEV4o8tKxuE2hBISHDNrNYPYSPOSEvLc22N98oStqn1WusSnb1/GzjBzJ4ahVcSqlk/m7D+1939ZMKP8QrCJZ/jgK+Z2bI0z13Di6PbrT6zQZdT+aSk2ueW+JmZ2RDh4H854dr8Knd/b/T9+ntCW5tGiD+3Sp/PkWXrNVI7n7suZvZCwknDvYTPd5PNPsXP8n2JVfrOxsnVnGp53P3T7v58wm/YKwhdWU8Cvmlm8YlVXP41NcpfV8POVlEC0BibCT+qf17rhzJqgR17UnT7xYRVX5Ti+a8lfJYnJdx3EuFM4qcpHq+SH0W3qUdzc/f97r7V3f+Z0GgR4NUpHmJphSE6l0e315bE4rPKxyes35JBmNz9IeAm4DgzW1TnZvFnNOuzj2qLkl5PLRdEtyujoV6fCfxPQhXm77n7w+7+bXd/F+ESzjxCb4I5i6p646rgsbK7f0vCazSzXiDLMLXx9+uShOrxE5h9uQ1CrQTUd/Ydi/e95eV3RAnn8Ux3Z2u0+LlfGCX75eJkqxHf/9Siff9zhN/Hkwmf+UsJlz1/L+P3pZZrCCcDJ5nZwrk+mLvf7+6XuvtbCN+rRUz/Fmb+bWwnJQAN4O4ThGruecDXozOPWaKuVv9TEpqIbpeXrfcyQre6em2Kbv8x+oGNH2cBoR8yhKx1rv6N8EX+mJk9ufxOM5tXOtSrmZ0QXXMuF8d2pXjuXuCfzez3+2zU/ekdhGrFz5SsO0744r+h7P1YRBgCtVU+StgnNiXVPJjZYWb2nJLQGOH9/evSZCd6zf9Ktu/rlwi1P28kNHCD6aSgtCwrzCzpgJjls0oUfV5fJ1wuu5bQvarUNYRE76Vl8f9FuksfsYnodnlZOR5DcjU0THdLXZrieT7D9Of2pLL7PkjoBvuZSu0U5iKq5bmMcMnw3NL7zOx5hK7BvyU00G2HCwiXRt/p7jcQxir5BfBBM/ujsnXTfl+qipLciwi1IB8u/e2IHu8QM6t66dDMTq2QWMVn/rui5xonXMb9MzM7q8JjPaOkxiAX1AagQdz9Q9GO8n7gJ2b2A8KBKB4K+CRCf/nSRj8bCH1JP29mXyRcq3o64Xr5xYT+5fU892fN7HRCl5ubzOwrhGqxVxO6yl3s7uVnW1le4/+Ldu5N0fN8g9D3up/wg/nHhAFI4urmNxCGfv0OoWvTbwldwF5FuA6bpg/49YQBiLZGQ8k+mvD+HAr8rbv/sqScd5nZGGGsgeui649/QOhj/V0a12CwKnffZGbPJVw//KWZfZMwhOwiwudyEqH26K3R+hNm9h5Co6Nro0ZHDxAa7R1KeA+embIMj5jZ5wnd3kYIB7ivJ6z6EWDQwqRLE4Sulc8lnLVNEn5I63VoSUOoPsIlhWcRGkr1EPpHr0w4IH6Y8Fq/Gr32+wiNx44hNPZcnqIMEMaguJrwo/wDwqW6Iwi1GT8ntN0p90PCj/q5UcIYt8f4hLsnVqNHn9u5hKTip2Z2MeF78KLoNf8/ys54G+ythNf5r1HyNM70OAAHgFU+PdZBI5xplSdDus7dvwIQvSevAr7k7p+CcKZvZq8jvM+fi8YH+G10X6rvS53eTvhNfSuwPHrMvdHjvYwwyM9VVba/CNhtZt8nfC+M8Dv3h4SGzpeXrPsGwiW3883sHYSxKe4nJEDPjMrxAsIYEfnQiK4E+pvR3eNpwCeAGwlnXnsJDXH+h/AjXD4S4B8RdprfEkap+j7hwL2ccBA/r2z9q0joCkb4YR0hfPl3RX9bgbdRZSTAKq/jAsq6xJTc94zo/kmm+63fSDijO7lkvecR+t/Go7A9QkgENlNjxMSkshIaj32G8AXaTajWnDUSYLTNfMJZ8x1Mj13wXsIBqVo3wOUVHm8wuv+CCvcnfi7Rfa8kdL27JyrLbwhnu/9AWb/xaP3XR69tN+FA8hlSjASY8HgvZLqb1icqrPNaQlXtLwhJ6++iz3QdsKTO5xkseZ74b3f0un9E+F68sMZj/Em0D+8mJCsXEc7+Z+2PtT6TaJ1FhER7InrMXxIuayyIYhMJ25xKOEA9VPI6BmvtJ4Sq7W8Rvst7on3uX0ju1lZtfzmTKl0RK2xzFOG7NhntY/cCXwH+sNp3KuV+dFXC51v+d0G07nOj92Ciwut/R7T+V+byfanndRDGVlhLSKB3EX5nbyacgJR2Q03ax95KqD25Ldr2PkLt1d8SdXcue65HEUZ23BrtP48AvyIk3aupoztiK/8sKrSIiIgUiNoAiIiIFJASABERkQJSAiAiIlJASgBEREQKSAmAiIhIAXX1OACHH364Dw4OtrsYIiIiLbN169Z73X1JrfW6OgEYHBxkfDxpsi0REZHuZGaT9aynSwAiIiIFpARARESkgJQAiIiIFJASABERkQJSAiAiIlJASgBEREQKSAmAiIhIAbUtATCzg8zsGjP7mZndZGYfiOLHmNmPzewXZvZfZjYvis+PlrdF9w+2q+wiIiKdrp01AHuAk939WcDxwKlm9nzgn4GPufuxwG+BN0frvxn4rbs/CfhYtJ6IiIhk0LYEwIOHosX+6M+Bk4EvRPEtwKuj/0+PlonuX2Fm1qLiioiIdJW2tgEws14zuw64B7gM+CVwv7vvj1a5Azgq+v8o4HaA6P4HgMWtLbGIiEh3aGsC4O5T7n48cDRwAvC0pNWi26SzfS8PmNlqMxs3s/EdO3Y0rrAiIiJdJBe9ANz9fuAq4PnAoWYWT1J0NHBn9P8dwOMBovsfDdyX8Fij7j7k7kNLltScDElERKSQ2tkLYImZHRr9fzBwCnALcCXwF9FqK4GvRv9fEi0T3f9td59VAyAiIiK1tXM64COBLWbWS0hELnb3r5nZzcBFZvYPwLXA+dH65wMXmtk2wpn/69pRaBERkW7Qzl4A17v7s939me7+dHf/+yh+m7uf4O5PcvfXuPueKL47Wn5SdP9t7Sq7iIjk09gYDA5CT0+4HRvrrudrpHbWAIiIiDTM2BisXg27doXlycmwDDA83PnP12jWzZfRh4aGfHx8vN3FEBGRFhgcDAfhcgMDMDHR+c9XLzPb6u5DtdbLRS8AERGRudq+PV28056v0ZQAiIhIV1i6NF28056v0ZQAiIhIV1i3DhYsmBlbsCDEu+H5Gk0JgIiIdIXhYRgdDdfgzcLt6GjzGuS1+vkaTY0ARUREuogaAYqIiORUHsYP0DgAIiIiLZSX8QNUAyAiIpJRljP5tWunD/6xXbtCvJVUAyAiIpJB1jP5vIwfoBoAERGRDLKeyedl/AAlACIiIhlkPZPPy/gBSgBEREQyyHomn5fxA5QAiIiIZDCXM/nh4TBh0IED4bYdgwcpARAREckgL2fyWakXgIiISEbDw51zwC+nGgAREZECUgIgIiJSQEoAREREWkxzAYiIiBSM5gIQEREpoLzMBaAEQEREpIU0F4CIiEgBaS4AERGRnMjaKC/LdnmZC0CNAEVEpNCyNsrLul1839q1odp/6dJw8G/1gELm7q19xhYaGhry8fHxdhdDRERybHAwHLzLDQyEcfobvV2zmdlWdx+qtZ4uAYiISKFlbZSXl8Z8WSkBEBGRQsvaKC8vjfmyUgIgIiKFlrVR3mmnpYvnjRIAEREptKzT+l56abp4KQ0FLCIi0qGytgEYG4NVq2DfvrA8ORmWQUMBi4iItEzcnW9yEtynu/PVOivP2gZgzZrpg39s374QbyUlACIiUmhZx+bP2nZg58508WZRAiAiIoWWtSp/eBhWroTe3rDc2xuWWz2gT1ZKAEREpGtkaVyXtSp/bAy2bIGpqbA8NRWW29GgLwslACIi0hWyXsvPWpWf9dLBwoXp4s2iBEBERLpC1gNy1m6AWS8dHHRQunizaC4AERHpCj094cy/nBkcOND458s6F0Czy6m5AEREpGNluZa/aFG6+Fw96Unp4rFWl7MSDQQkIiK5knWa3d2708Xn6tvfThePtbqclagGQEREciXrtfyHH04Xn6tKV9BrXVlvdTkrUQIgIiK50unT7HYKJQAiIpIrnT7NbqdQAiAiIrmStV/+4sXp4u3SU+HIWynetHK09ulERESqy9ovf/166O+fGevvD/FmyHogP/vsdPFmUQIgIiK5Mzwc+tIfOBBu6xlff3gYNm+emThs3lzftiMj0NcXtuvrC8u1VOqzX6sv/4YNcM45M+cQOOecEG8ldQMUEZGuMTycfjKekRHYuHF6eWpqerlZB+Vbb505h8CttzbneapRDYCIiBRa6cG/nvhcnXIKXHHFzNgVV4R4KykBEBERaaHyg3+teLMoARARESkgJQAiIiIZxI346o3njRIAEREptGXL0sVjcSO+euN5owRAREQKLS9j87eaEgARESm0os49oARAREQKbdGidPFuoQRAREQKbffudPHYwEC6eMwsXbxZlACIiEjujI3B4GAYV39wMCw3S9Y2AOvWzR73v6en9qRF7unizdK2BMDMHm9mV5rZLWZ2k5mtieLnmdmvzey66O+0km3ea2bbzOznZvaydpVdRESaZ2wMVq+GyclwUJycDMvNTAKy2Lx59rj/Bw6EeDVZaw4arZ01APuBd7v704DnA28zs7jTxcfc/fjo71KA6L7XAccBpwIbzKxDeluKiEi91q6FXbtmxnbtCvFaskzqk1XWEf3WrYN582bG5s2rXXPQaG1LANz9Lnf/afT/g8AtwFFVNjkduMjd97j7r4BtwAnNL6mIiLRS1lb58aQ+pZPsbNzY3CQgq/Lq/lZX/0NO2gCY2SDwbODHUejtZna9mW0ys8Oi2FHA7SWb3UH1hEFERDrQ0qXp4rHR0XTxdlm7Fvbtmxnbt6++Go5GansCYGaHAF8EznX33wEbgScCxwN3AR+JV03YfFbOZGarzWzczMZ37NjRpFKLiEizrFsHCxbMjC1YULuKvFNG5svLuANtTQDMrJ9w8B9z9y8BuPvd7j7l7geA/2C6mv8O4PElmx8N3Fn+mO4+6u5D7j60ZMmS5r4AERFpuOHhcNY+MBCu5Q8MhOXh4erblbfIrxVvl6w1HI3Wzl4ABpwP3OLuHy2JH1my2p8CN0b/XwK8zszmm9kxwLHANa0qr4iItM7wMExMhFb1ExO1D/4ABx+cLt4uDzyQLt4sfa19uhlOBN4E3GBm10Wx9wGvN7PjCdX7E8DZAO5+k5ldDNxM6EHwNnfPWcWOiIi0S3nPgVrxdrn//nTxZmlbAuDu3yf5uv6lVbZZB7S4o4SIiHSCRYtg587keDV9fbB/f3K8m+XsyoiIiEg2Dz2ULh7L2niwU9ocVNIhxRQREaluz5508VjWoXnLRwGsFc8bJQAiIpI7rZwLIKu8DOmblRIAERFpmiwH8rExOOusmXMBnHVW85KArLPzLVyYLp435u0Yf7BFhoaGfHx8vN3FEBEppHhSn9JW+AsW1O7Tf/jhyY35Fi+Ge++tvN38+bB37+z4vHnVLwNUO9BXO0Rm3e6QQ5JnGly4sHZ7hXqY2VZ3H6q1nmoARESkKbJO6pN08K8Wj3XKSIB5oQRARESaotVD3nZKApB09l8t3ixKAEREpCnKx/OvFY91+rX1TqEEQEREmiLrmW7WRnmSjhIAERHJlawD+ihxSEcJgIiIdIWsA/oUlRIAERFpikMOSRePqQ1AaygBEBGRpnjTm9LF26Wolw6UAIiISFNcWmFu10rxWKu7yfX3p4t3CyUAIiLSFK0eByCrpNEDq8W7hRIAERFpiqVL08VjWdsA9PamixedEgAREWmKdeugr29mrK8vxKvJek2+U0YCzAslACIi0hRXXw3798+M7d8f4tVkHQdA0lECICIiTTE6mi4uraUEQEREmkJV8vmmBEBERGoaG4PBQejpCbdjY7W3ydooL2sbADUCTEcJgIiIVDU2BqtXw+RkGFZ3cjIs10oCVq9OF49lHdJXNQ7pKAEQEZGq1q6FXbtmxnbtCvFqNmyAc86ZPgPv7Q3LGzY0p5ySjnkXz5IwNDTk4+Pj7S6GiEhH6+lJPvs2gwMHGv98hx8OO3fOji9eDPfeW3m7apcIqh3qOmW7epnZVncfqrWeagBERKSqrAP6ZDV/frq4ZKMEQEREqlq3DhYsmBlbsKD2gD5Z3XlnurhkowRARESqGh4OffcHBkL19cBAWB4ebnfJZC6UAIiIiBRQX+1VRESkyOJugHFPgLgbIDSnFsCscqPDZmxXVKoBEBGRqrJ2A4RsAwgtWpQuHnvrW9PFi041ACIiUtX27enisbExWLUK9u0Ly5OTYRmq1xwkdQGsFo995zvp4kWnGgAREakqazfANWumD/6xfftCvBluvjldvOiUAIiISFWnnZYuHst6Ji+toQRARESquvTSdHHpDEoARESkqsnJdPHY4sXp4tJaSgBERKQp1q+fPRVvb2+IS/spARARkaZJSgAkH5QAiIhIU6xdC3v3zozt3Vvf+AFZVEoulHQkUwIgIiJVHXJIungs6/gBWU1NpYsXnRIAERGp6lOfCiP5lerpCfFqso7oJ62hBEBERGrKci3/wQfTxaW1lACIiBRIlrH5165NHtGv1rX88uv/teLSWpoLQESkILLO6tfqa/ma1a81VAMgIlIQWWf1a/W1/KSDf7W4ZKMEQESkIFp9Ji/5pgRARKQgss7qd9996eLSGZQAiIgUxLp1sGDBzNiCBSFeTdbEQfJNCYCISEEMD8PoKAwMhAZ1AwNhuVoDQMieOEi+qReAiEiBDA/XPuAnbQOhseD27eHMf9269I8j+aIEQEREasqSOEi+6RKAiIjUlGUAIck3JQAiIgUyMgJ9faENQF9fWK5lbAxWrgwDB7mH25UraycB8+ali0trKQEQESmIkRHYuHF6drypqbBcKwk4++zZM+pNTYV4NZqdL9+UAIiIFMToaLp47OGH08VjSgDyTQmAiEhB6IAspZQAiIh0oCyN8ipN4VvP1L7SfZQAiIh0mHhWv9JGeatX104C4pn/6o1Ld1MCICLSYbLO6rdhA6xYMTO2YkWIS/EoARAR6TCTk+nisbEx+OEPZ8Z++EP16S+qtiUAZvZ4M7vSzG4xs5vMbE0UX2Rml5nZL6Lbw6K4mdnHzWybmV1vZs9pV9lFRNop67X8rDUHWfVUOMJUisfUVqE12lkDsB94t7s/DXg+8DYzWwa8B7jC3Y8FroiWAV4OHBv9rQY2tr7IIiLtl7U1//bt6eL0bvdoAAAgAElEQVRzZZYuHnvKU9LFJZu2JQDufpe7/zT6/0HgFuAo4HRgS7TaFuDV0f+nA5/24EfAoWZ2ZIuLLSLSdlnPkFs9rW/WROXnP08Xl2xy0QbAzAaBZwM/Bo5w97sgJAnAY6LVjgJuL9nsjihW/lirzWzczMZ37NjRzGKLiLRF1gNrp0zrq/EKWqPtCYCZHQJ8ETjX3X9XbdWEmM8KuI+6+5C7Dy1ZsqRRxRQRyY2BgXTx2PBwGMM/rino7Q3LmuWvmNqaAJhZP+HgP+buX4rCd8dV+9HtPVH8DuDxJZsfDdzZqrKKiORF1jP5sTHYsmXmXABbtqgXQFG1sxeAAecDt7j7R0vuugRYGf2/EvhqSfyMqDfA84EH4ksFIiJFMjwcxu8fGAgN6gYGwnKtM/lW9wKQfOtr43OfCLwJuMHMroti7wP+CbjYzN4MbAdeE913KXAasA3YBaxqbXFFRDpb1vEDpDu1LQFw9++TfF0fYEV5wN0deFtTCyUi0gHioYDjs/l4KGCoXgvQ0wMHDiTHpXj0sYuIdJisVflJB/9qceluSgBERDpMqwf0ke6kBEBEpMNkHdBn/vx0celuSgBERDpM1m6A+/ali0t3UwIgItJhsnYDVBsAKaUEQESkjcbGYHAwtMQfHGzuoDyaZU9KKQEQEWmTuDvf5CS4T3fnq5UEjI3BmWfO3O7MM2tvt3x5urh0Nwvd67vT0NCQj4+Pt7sYIiKJBgeTB+EZGICJicrbPepR8NBDs+OHHAIPPlh5u8MPh507Z8cXL4Z77628XbXpe6sdQrRdY7erl5ltdfehWuupBkBEpE2ydudLOvhXi8eSDv7V4tLdlACIiLRJ1u58Io2gBEBEpE2ydufLqtKQvxoKuJj0sYuItEnW7nyVriFXu7YM6gYoM7VzNkARkcIbHq59wC9XqaFYrQZkvb0wNZUcl+JRDYCISBtlGQcga3/+pIN/tbh0NyUAIiJtMjYGZ501sz//WWfVTgKe8pR08dhBB6WLS3fTOAAiIm2StV9+T09ydb9Z9ev5ndLfXdvNjcYBEBHJuaz98rO2ARAppQRARESkgJQAiIi0yeLF6eIijaQEQESkTdavh/7+mbH+/hAXaTYlACIibTI8DJs3zxwIaPPm9OMCiGShgYBERNooy0BAIo2gGgARkQbIMqAPwCmnhLP/+O+UU5pZSpFpSgBEROZobAxWr545oM/q1bWTgFNOgSuumBm74golAdIaGghIRGSOBgfDQb/cwABMTFTerlMGoNF2+diuXhoISESkRbZvTxcXyQMlACIic7R0abq4SB4oARARmaN162DBgpmxBQtCXCSvlACIiMzR8DCMjs7szz862rzufVmnAxYppXEAREQaIEt//t5emJpKjleTtE21uEgS1QCIiLTJ6tXp4jHVAEgjpEoAzOwEM3tLWex0M7vBzH5tZh9qbPFERKScagCkEdLWALwf+JN4wcyWAp8DHgs8APydma1qXPFERLrX6Gi6eEw1ANIIaROAZwFXlyy/DjDgeHdfBnwLqFF5JSIikP1MXjUA0ghpE4DFwG9Kll8GfNfdfx0tXwIc24iCiYhIssWL08VFkqRNAO4HjgAws/nA84HvltzvwMGNKZqIiCTZvTtdXPLloIPSxZslbTfA64C/MrPLgT8FDgK+WXL/McDdDSqbiIgkePjhdHHJl7wkcGkTgA8SrvNfQ7j2f5m7l86280rgxw0qm4iIiDRJqksA7v4D4DnAucCZwKvi+8xsMSE52NjA8omIdISREejrCyMB9vWFZZEklWYDrDZLYDOkHgnQ3W8Fbk2I7wTe2YhCiYh0kpER2Fhy6jM1Nb28YUN7yiT5VWnK30ZMBZxGppEAzewYM/srM1trZoNRbJ6ZLTWzeY0soIhI3mXtzy/STqkTADP7Z0INwCjw98ATorsOAm4GVPElIoWStV/+/Pnp4iKNlHYo4LOBvwE+CbyU0BAQAHf/HWEcgFclby0i0p2yjszX358uLt0hL20A0tYAjABfdvdzgWsT7r8eeMqcSyUi0kGyTurz0EPp4tIdFi5MF2+WtAnAk4HLqty/Azg8e3FERDrPhg2wbNnM2LJlzWsAODCQLi75kpfEL20CsBuolqMMEEYLFBEpjJERuPnmmbGbb25eV8B166Cn7Ne7pyfEReqVNgG4hjAC4CxmdhDwJmZOFiQi0vVa3Qvg6qvhwIGZsQMHQlykXmkTgH8FXmBmFwLPjGKPNbOXAVcBRwMfblzxRERaa2wMBgfDGfXgYFiupdWz86nbYWfLy3TOaUcCvBw4B/gL4PIofCFwKWGq4Le4+w8bWkIRkRYZG4OzzoLJyTAoy+RkWK6VBLS6VbemA+5sy5enizeLeYahh8zsscBrgKcSugL+Ari4ZFrgXBgaGvLx8fHaK4qIAIcfDjt3zo4vXgz33lt5u/5+2L9/dryvD/btq7xdtQSh2k9zT0/y/WazLw004vm0XWO3GxwMyWW5gQGYmKi8Xb3MbKu7D9VaL/VQwADu/hvgE1m2FRHJq6SDf7V4LOngXy0+V3kZSlay2b49XbxZMg0FLCIic5eXa8HSWkuXpos3S9UaADPbBDiw2t2nouVa3N3f3JDSiYh0MV3LL6Z160Lbkr17p2Pz5rW+G2etSwBnEhKAc4CpaLkWB5QAiIiIVFB+eahZl4uqqXoJwN173L3X3feWLNf6U+WViBTK4x6XLi7FtmZN8jgOa9a0thx1twEws95out9FzSyQiEinufvudHEptqyNTRstTSPAfuA2VL0vIh0gy4A+hx6aLh7TtXzpRHV3A3T33WZ2L/BwE8sjIjJnY2NhJr5du8Ly5OT0zHzDw5W3u7/CTCaV4rGenuT+9+Xj9YvkSdrd81LglY14YjPbZGb3mNmNJbHzzOzXZnZd9HdayX3vNbNtZvbzaOhhEZFEa9dOH/xju3aFeDP0VTiVqhQXyYO0CcDfAkea2RYze0Y0AVBWFwCnJsQ/5u7HR3+XApjZMuB1wHHRNhvMTI0NRSRRqwdaKe3OVU9cJA/SJgD3ECYBehNwHfCwmU2V/dXVmcHdvwvcV+fzng5c5O573P1XwDbghJRlF5GCyMtAKyJJKl0aavUlo7RP9+nob0vJ/+V/F86xTG83s+ujSwSHRbGjgNtL1rkjiolIl8vSmG/dOliwYGZswYLaA62sWJEuLpLF2WenizdLqitU7n5mk8oR2wh8kDCY0AeBjwBnESYcmlWcpAcws9XAaoClSvdFOlrWxnzxfWvXhmr/pUvDwb/aNgDbtqWLi2SxYUO4HR0NPUV6e8N+HcdbJdNsgA17crNB4Gvu/vRq95nZewHc/R+j+74JnFdr6mHNBijS2Zo9a1o5zbJXzO36+pK7bPb2Vh+hL+vzNVu9swFmuuJgZi82s4+b2deiv4+b2YuzPFbZ4x5ZsvinQNxD4BLgdWY238yOAY4Frpnr84lIviUd/KvF5ypr2wGNBNjZijqOQ6oEwMx6zOxC4HLg7YQW+adG/19uZp82q5YTzXiszwE/BJ5iZneY2ZuBfzGzG8zseuDFwDsB3P0m4GLgZuAbwNvcvcs/GhGZy2x5rWw7cOed6eKSL0WdlTFtL9V3A8PA54EPEQ7IAE8D3hvd9zPCtfuq3P31CeHzq6y/DmjxXEki0k5Zz8xa3XZAOptqAOpzJvAtd/9Ld/+Zu++L/q6PDuiXERrtiYjM2cBAunis1QMBSWfLup91urQJwBOA/65y/39H64iIzFnWKvmsAwGNjcEb3xhqDNzD7RvfWN/lA+lc69bNHrWxr6/2ftbp0iYADwNHVLn/sWiuABFpkOHh0FVqYCC0uB4YCMu1quQXVZiztFI89qY3pYtLd7j66tmt/ffvD/FulqoboJl9GXgR8MdRw7zS+5YB3weucvc/a2gpM1I3QJFianW3Lm3X2dtl3V+ybtdszeoG+H+A+cC1ZvZ5M/tA9PcF4FrClMHvT19cEZFkWVrzF7VRl2STdX+Zy36WZb9utLQjAd5gZi8C1gN/Hv3FfgCscfcbGlg+ESmwrK35RdJo9XTOedmvM48EaGZLgGMIw/Te5u47GlmwRtAlAJHOlnUkwE6petZ2+dgua1X+4YfDzp2z44sXw733Vt6u2SNcNnUkQAB33+Hu17j7j/N48BeRztfqkQClmLJW5b/2tenisVZPV11JiycfFBGpX9YR2orar1ta69JL08VjeZmuumoCYGYHzGwq5V8b2z6KSDfJemZ22mnp4tId5s9PF49VutZfqw1A1jP5rONbNFqtRoCfpsK0uyIizdbbW/nabDUXX1w53uopV6V1nvhEuPnm5Hg1L34xXHFFcryapUuTL0fVOpPPy5DTbZ0OuNnUCFCks3VKIzJt19nbZW2UV96aH8KZfD2DVTVT0xsBiog0m67lSytkrcrPOlJlXigBEJHcynqtdOHCdHEptqxDR3e61AmAmZ1oZl8zsx1mtl+NAEWkWbKeYe3enS4u3eHgg9PFY1n3l/gSQOnkUatXd87kUakSADM7CbgSeB7w42j7K4GfEAYEuhG4sMFlFBFJRUMBF9Mjj6SLxx6uMIVdpXis06edTjUUMLAWuAsYIvQOuAf4kLt/28xeCnwBGGlsEUWkqMbG4IwzpodpnZwMy9A511mle3X6QFVpLwGcAPxnNPJfPHJyD4C7f4tw9v/BxhVPRIrs7LNnj9F+4ECIizTK4sXp4rGsA1XlRdoEYD7w6+j/PdHto0ruvw547lwLJSIC2atmpZgqdQOs1j0QYP16mDdvZmzevBCvptMvNaVNAO4CjgZw94eB+4Gnl9x/NKBGgCIi0nKV+vrXGu5meBg2bZrZ2HTTptqXmTq9m2raNgA/AU4sWf4W8E4zmyQkE28nNA4UERHpGMPD6duVrFuXPBBQq4f0zSptDcD5wL1mFneqeB/wCHABsIlwWeBvG1Y6ERGROmW9lp/V8DCsXDl9zb+3Nyx3SgPVVAmAu1/m7sPu/ki0fBvwZODVwKuAp7n7jY0vpoiISHVZp+fNamwMtmyZvuY/NRWWu3IcgCTu/rC7X+LuX3f3BxpRKBERkbSyTs8L4aA9OBhmABwcrO8g3unjANRMAMys18z+yczeWmO9c8zsQ2a12luKiIg0XtYx/cfG4KyzZo7od9ZZtZOArM+XF/XUALwR+BtCA8BqrgH+Dnj9XAslIiKSVqVpeGtNz7tmDezdOzO2d2+IN+P58qKeBOC1wOXuvrXaStH930QJgIiItEHWyaN27kwXn+vz5UU9CcBzgcvrfLwrCcMEi4iItNTwMLzgBTNjL3hB81rlF2E64EWEMf/rsSNaX0RkhiyNrKSYDjooXTw2MgJXXDEzdsUVIV7NXLoPDg/DxEQYonpionMO/lBfAvAgcHidj7cYeCh7cUQk70ZGoK8vnPH09dX+cYXOnzZVWivr9Lyf+lS6eGz9eujvnxnr7689FHCnqycBuAl4aZ2P95JofRHpQiMjsHHjzH7PGzfWTgI6vbuUdIa5DAW8efPMqvzNmzvrbD4L8xrvjJmdC3wE+DN3/2qV9f4E+DLwLnfPRd40NDTk4+Pj7S6GSNfo60ue6KS3F/ZXmQWkpyf5R9hs9mx/5fdXUu2nS9tpuzTbdRsz2+ruNdvj1VMD8O/ANuBiM1tnZoNlTzRoZv8AXAzcGq0vIl0o6+xnnd5dSqQb1UwAomF/XwH8Cngv8Eszu9/MtpvZb4FfEuYE+BXwSnevcZVGRDpVT4VfjErx2GmnpYtLsR1ySLp4LOt0wEVV11DA7r4NOB5YA3yfMOXvY4Ep4HtR/Dnu/ssmlVNEcuDgg9PFY3MZolWKp3xQnlrxWNY2AEVV93TA0Zn9J6I/ESmg8oZ8teKxTh8yVVorawIwMBB6mCTFZbY5TwYkIp0pS7/8RRVG+agUn+t20tmy9ufPSpea0lECIFJAWfvl79mTLh578MF0cekOWfvzZ72Wf/HF6eJFpwRApICy9st/qMIwX5XisaxVulJM5ePr14rHso7pX1RKAEQKSNfkJc+ytjWRdJQAiBRQ1n75cxkzXaReGjeiNZQAiBRQ1mlM168Po/6V6u3t/jHTJZvyfaVWPJZ1/1SCmo4SAJECmss0puWD/tQaBEiKay5j82fZP1/72nTxotNXV0TqtnYt7Ns3M7Zvnyb1kWSV5nmoNv9DLMs0uxpwKh0lACIFNDYGq1bN7Aa4alXtboBJg6xUi8fmzUsXl3zpqzBkXKV4I2QZp0KNW9NRAiBSQGvWJJ/Jr1nTnOeby5mgtF/WOSCyGhuDM86YmaCecUbtJEADTqWjBECkgFrdX7rSVMHVphCW/Gj1OA5nnz07OTxwIMSlcZQAiIhIrjz8cLp47L770sWLTgmASAFpulXpRho/IB0lACIFlLV7Vn9/urh0h6yNALMmjFnbHGQdP6ColACIFFDWKlaN6V9MU1Pp4rGsiWala/212gDMZXyLImpiJw4REekGWQ/kWW3YEG5HR0OS0dsbZquM49IYqgEQ6XBZ+kuLpNGOth8bNoReIu7htp6Df9ZprotKCYBIB9MPnrRC1hqAZcvSxecq6zTXRaUEQKSD6QdP8uymm2Yf7JctC/FaNBJg86kNgEgH0w+e5F09B/tycc1WnNzGNVtQvUHf0qXJw1KrG2Ay1QCIdDANfSrdKGvNlroBpqMEQEREciVrzZa6AabTtgTAzDaZ2T1mdmNJbJGZXWZmv4huD4viZmYfN7NtZna9mT2nXeUWyRMNfSqt0NubLj5XcxnRL8s0wkXVzhqAC4BTy2LvAa5w92OBK6JlgJcDx0Z/q4GNLSqjSMtkafSkoU8ljcWL08VjWQcCykpV+a3RtgTA3b8LlJ+nnA5sif7fAry6JP5pD34EHGpmR7ampCLNNzYGZ501szvfWWfVTgL0QylprF8P8+bNjM2bF+LVDAyki8+VqvJbI29tAI5w97sAotvHRPGjgNtL1rsjiol0hTVrZg+nu3dviFejH0pJY3gYNm2aub9s2lR7f2lHoqmq/ObLWwJQSdJ4U4lDUJjZajMbN7PxHTt2NLlYIo2xc2e6eCn9UEqzzSXR1EiV+ZW3BODuuGo/ur0nit8BPL5kvaOBO5MewN1H3X3I3YeWLFnS1MKKiHSSrJea5vJ8Gqkyv/KWAFwCrIz+Xwl8tSR+RtQb4PnAA/GlApFukLVxlkgaWS81ZT2Qa6TKfGtnN8DPAT8EnmJmd5jZm4F/Al5iZr8AXhItA1wK3AZsA/4DGGlDkUWaZv166O+fGevvr904SySNrJeash7INVJlvrWzF8Dr3f1Id+9396Pd/Xx33+nuK9z92Oj2vmhdd/e3ufsT3f0Z7j7ernKLNMPwMGzePPMa6+bNusYq+ZD1QK5uqvmWt0sAIoWVpTFfq6/pSjFlPZCrm2q+KQEQ6WBZr+mKpJH1QK5uqvmm2QBFOthcug+K1Cs+YK9dG6r9ly4NB/96DuTDwzrg55VqAERERApINQAiIgVhFtqKJMWribsBxj0B4m6AoLP7TqYaAJEO1lPhG1wpLsX21remi8fUn787qQZApIMdOJAuLsW2YUO4HR0NM/n19oYz+TheifrzdyedJ4h0sFbP0y6d78QT4eijQ7X/0UeH5VrUn787KQEQ6WCtnqdd8iHrpZ+xMVi1aua4EatWadrpolICIJITGtFP6nXwwenisTVrYN++mbF9+zTtdFGZJzUJ7RJDQ0M+Pq5RgyX/yltZQzjDqvUjW631drWvtrbTdmm2k85iZlvdfajWeqoBEMmBrK2s1QZARLJSAiCSA1lbWR9xRLq4SFa6RNV9lACINNjICPT1herWvr6wXMu8eenisTvvTBeXYlu8OF08Fl+iKm08uHq1koBOpwRApIFGRmDjxulW+FNTYblWErBnT7q4FNuKFenisfXrob9/Zqy/P8Sr0UBA3UmNAEUaqK8vuQteby/s3195u05pDKbt8rEdwHHHwc03Ty8vWwY33VR9Gwhn7Wkn9enpqTyEsAadyh81AhRpA/XLl1YYG4Nt22bGtm2rr0p+eBgmJsKBe2Kivq58GgioOykBEGmgSmd0tSZbkWI65JB08diaNbB378zY3r21+/NnpYGAupMSAJEGWrgwXTx20EHp4tIdKlXz16r+37kzXXyuNBBQd1IbAJEGynqttFOuPWu7zt5OikFtAETaYNGidHGRLLJ2GxUppQRARKRNsrYBqNSjpFpPk7nSQEDdp6/dBRDpJq2+Niudbf58eOih5Hg1lS4nNatLXvlcFfFAQKB2AJ1MNQAiIm1y333p4rFWzwGhgYC6kxIAEZE2ydq/Pj77rjc+V1nnqpB8UwIgIjJHPRV+SSvFY1n712/YAOecM33G39sbljdsqK+8aWkgoO6kBEBEZI4OPjhdPDaX/vUbNoRGf+7htlkHf9BAQN1KjQBFRObo4YfTxUsND+e/IV1cvrRzCEi+qQZApAJ1exKZlmUOAck31QCIJFC3JxHpdqoBEEmgbk/FlLV7Xau75Yk0ghIAkQSTk+ni0h2yTufc6m55Io2gBEBERKSAlACIiMzR6Gi6uEgeKAEQEZmjrJcORNpJCYCISCTrNLtZRwIUaSftniIic5R1JECRdlICICIS2bs3XTxW3mW0VlwkD5QASNfTiH7SbJosRzqREgDpavGIfpOTYdKUeEQ/JQHSSOvWzb7e39OjyXIk35QASFfLOqKfWbq4dIesn/vVV4cx8ksdOBDiInll7t7uMjTN0NCQj4+Pt7sY0kY9PeHMv5zZ7B/s8vsrqfaV0XbF3K6vL7nLX29vmKpXpJXMbKu7D9VaTzUA0tV0bVbSGBhIF49pHADpREoApKuddlq6uBTbunXQ3z8z1t9f+1q+xgGQTqTdU7rapZemi4uUXwaop92HxgGQTqQEQLra9u3p4lJsa9fO7vO/d2/tRqMaB0A6kRIA6WpqA1BMvb3p4rGsCaP2M+lESgCkq61bBwsWzIwtWKD+2d0ua6O8rAdy7WfSiZQASFcbHoaVK6fP/Hp7w/LwcHvLJc2VtVFe1gP58HCY+ndgILQZGBgIy9rPJM+UAEhXGxuDLVumz/ympsKyRgLsbpXGeKg29gPM7UA+PAwTE+E5JiZ08Jf8UwIgHWNkJAy4YhZuR0Zqb5N1JEApLh3IpSiUAEhHGBmBjRtnnslv3Fg7CZicTBeXfDnkkHTxuW4nUiRKAKQjjI6mi0t3qDT8bq0RzOfPTxcXKSIlANIRNNRqMT38cLp4bOfOdHGRIlICICJdJ+s4ACJFogRARHJr3rx08ZhqjERqUwIgIrlVaSrdWlPsZp3VT6RIlACISG5l7c+vWSBFastlAmBmE2Z2g5ldZ2bjUWyRmV1mZr+Ibg9rdzklm7ExGBwMo7INDmpQHqks67X8ucwCqf1TiiKXCUDkxe5+vLsPRcvvAa5w92OBK6Jl6TBjY3DGGaEfvnu4PeMM/chKstWr08VjWSf1GRsLj126f65erf1TulOeE4BypwNbov+3AK9uY1kko7PPnl19e+BAiIuUO/HEdPFY1kl9NHKkFEleEwAHvmVmW80szvWPcPe7AKLbx7StdJJZ1n7dUkxr1qSLx7JO6pO15kCkE+U1ATjR3Z8DvBx4m5mdVO+GZrbazMbNbHzHjh3NK6GINF3WAX2yTuqTteZApBPlMgFw9zuj23uALwMnAHeb2ZEA0e09FbYddfchdx9asmRJq4osdTJLF5fu0Cmfe9aaA5FOlLsEwMwWmtmj4v+BlwI3ApcAK6PVVgJfbU8JZS7Kf1xrxaU7ZB3TP6usjfnmMh2wSKcxb9Y3MCMzewLhrB+gD/isu68zs8XAxcBSYDvwGne/r9pjDQ0N+fj4eFPLW2RjY6Fx1PbtoYp03braP5Q9Pck/+mbV+3ZXO1Ostgtru2JuNziYPOPjwECY4lekm5nZ1pIedBX1taIwabj7bcCzEuI7gRWtL5Ekic+w4hbT8RkWVE8CFi1Kvn67aFHjyyiN19OTnKj15KwuUY35RGrL2ddWOoW6SxVTX4VThkrxWKsn51FjPpHalABIJlnPsDRNa2fbuzddPNbfny4+V2rMJ1KbEgDJRGdYksbu3enisaw1B2rMJ1KbEgDJZN262dd9e3p0hiWNlXUoYAgH+4mJ0GZhYkIHf5FySgAkk6uvTh7S9+qr21Me6U4bNsA550yf8ff2huUNG9pbLpFukLtugI2kboDN09cHU1Oz47291edq75RuZNouH9uJSHr1dgNUDYBkknTwrxYXEZF8UQIgIiJSQEoARAoo69j8rd5ORJpHCYBIAWUdmz/rdq0eB0BEalMCICJ1GxhIF49lHUBIRJpHCYBIB1u4MF18rttphD2R7qEEQKSDZT0jz3pNfngYVq6c2S9/5crag+wsXpwuLiLNpwRApIPdfHO6eOyhh9LFY2NjsGXLdHfPqamwPDZWfbv162HevJmxefNCXETaQwmAMDISBvYxC7cjI+0ukeRV1lkgh4dh06aZY/Nv2qTheUXaqcYkntLtRkZg48bp5amp6WUNt9q9Fi9OnoGxVpV81lkgIRzsdcAXyQ/VABTcpz6VLi75knW2vPXrZ3fB6++vXSWvWSBFuocSgILL2q9b8qGvQh1epXhseBg2b55ZJb95c+0zdPUCEOkeugQgkgO9vZUnV6pmz5508VJZquTj9deuDdX+S5eGg7+q9kU6jxIAkRzopMmVdC1fpDvoEoCIiEgBKQEQEREpICUAIh0say8AERElACIdbPnydHERkZgSAJEcyHomv21buriISEwJgEgOZO0FMJeR+USk2JQAdJHjjguDusR/xx3X7hJJs2lkPhHJSglAlzjuuNkzwN18s5KATrFwYbp4TCPziUhWSgC6RNZpYSUfDjooXTw2PAyjozOH9B0d1UA9IlKbRgIUyYGkmfmqxUtpZD4RyaBAELsAAA6aSURBVEI1ACI5oP78ItJqSgBEGmjx4nTxWCfNBSAi3UEJgEgDrV8/eyrevr4QFxHJEyUAIg1mVn1ZRCQPlACINNDatbBv38zYvn0hXo3aAIhIqykByKGRkVBtbBZuR0baXSKpV9aR+VavThcXEZkrJQA5MzICGzdON/6amgrLSgJaq6fCN6NSPLZoUbp47MQTZz92T0+Ii4g0gxKAnBkdTReX6ipdf691Xf7ss9PF52rtWjhwYGbswIHalw5ERLLSQEA5o+5gjeWeLh7bsCHcjo6G9763N1THx/FK7rsvXTw2OZkuLiIyV6oBEKlgwwbYvz8kC/v31z74Q/bJedQIUERaTQmASANlnZxHNT8i0mpKAJpobAwGB0NjrsHBsCzdLevkPAMD6eIiInOlBKBJxsZg1apwDdc93K5apSSg1VasSBdvF03rKyKtpgSgSdasSR4QZs2a9pSnqC6/HJYtmxlbtizEm2FsLDQWLE38Vq+unfhpWl8RaTXzWs2hO9jQ0JCPj4+35bmrdTOr9pZru8ZuFx+Qd+2aji1Y0LyD6+Bgcsv9gQGYmGj884mIlDOzre4+VGs91QBIV1u7dubBH8Jys/rXZx0JUESk1ZQASFdr9QE5azdAEZFWUwIgHSFrP/l589LF50qN+USkUygBkI6QtZ/8nj3p4nOlxnwi0ik0FLB0hIGByo3r8mZ4WAd8Eck/1QBIR1DVuohIYykBqING9GucrAPzZK1a75SBgEREWk3jANSQtR95p/STb/V2AKecAldcMb28YkXzBuZpx/OJiLRTveMAKAGoIevALp1yQG5HAiAiIs2jgYAaRPO0J1u8OF1cRETyRQlAwVU6k692hg+wfv3svvTz5oW4iIjknxKAgjv55HTx2PAwbNo0s1Hepk3q/iYi0ik0DkDBbduWLl5K/d1FRDqXagAKTpPXiIgUU8clAGZ2qpn93My2mdl72l2evMg65r0mrxERKaaOSgDMrBf4JPByYBnwejNb1t5S5cOmTeniMY2wJyJSTB2VAAAnANvc/TZ33wtcBJze5jLlwvAwfOYzMxvlfeYzta/Ra/IaEZFi6rRGgEcBt5cs3wE8r3QFM1sNrAZY2oH12CtWzBy1rjReS9ZGeWrMJyJSPJ1WA5DUO33GuHPuPuruQ+4+tGTJkhYVa7ZzzkkXj11++eyDvYauFRGRRuu0GoA7gMeXLB8N3NnMJ3RPHhSn1nC3GzaE29HRMGd9b2+YUyCOV6ODvYiINFtHzQVgZn3ArcAK4NfAT4A3uPtNSes3Yi4AERGRTlLvXAAdVQPg7vvN7O3AN4FeYFOlg7+IiIhU1lEJAIC7Xwpc2u5yiIiIdLJOawQoIiIiDaAEQEREpICUAIiIiBSQEgAREZECUgIgIiJSQEoARERECkgJgIiISAEpARARESkgJQAiIiIFpARARESkgJQAiIiIFJASABERkQJSAiAiIlJA5u7tLkPTmNkOYDLhrsOBe1tcnE6g9yWZ3pdkel+S6X1JpvclWTPelwF3X1Jrpa5OACoxs3F3H2p3OfJG70syvS/J9L4k0/uSTO9Lsna+L7oEICIiUkBKAERERAqoqAnAaLsLkFN6X5LpfUmm9yWZ3pdkel+Ste19KWQbABERkaIrag2AiIhIoRUuATCzU83s52a2zcze0+7y5IWZTZjZDWZ2nZmNt7s87WJmm8zsHjO7sSS2yMwuM7NfRLeHtbOM7VDhfTnPzH4d7TPXmdlp7SxjO5jZ483sSjO7xcxuMrM1UbzQ+0yV96XQ+4yZHWRm15jZz6L35QNR/Bgz+3G0v/yXmc1rSXmKdAnAzHqBW4GXAHcAPwFe7+43t7VgOWBmE8CQuxe6n66ZnQQ8BHza3Z8exf4FuM/d/ylKGg9z979rZzlbrcL7ch7wkLt/uJ1layczOxI40t1/amaPArYCrwbOpMD7TJX35bUUeJ8xMwMWuvtDZtYPfB9YA7wL+JK7X2RmnwJ+5u4bm12eotUAnABsc/fb3H0vcBFwepvLJDni7t8F7isLnw5sif7fQvghK5QK70vhuftd7v7T6P8HgVuAoyj4PlPlfSk0Dx6KFvujPwdOBr4QxVu2vxQtATgKuL1k+Q60U8Yc+JaZbTWz1e0uTM4c4e53QfhhAx7T5vLkydvN7ProEkGhqrnLmdkg8Gzgx2if+b2y9wUKvs+YWa+ZXQfcA1wG/BK43933R6u07LhUtATAEmLFuQZS3Ynu/hzg5cDboipfkWo2Ak8EjgfuAj7S3uK0j5kdAnwRONfdf9fu8uRFwvtS+H3G3afc/XjgaEKt9NOSVmtFWYqWANwBPL5k+WjgzjaVJVfc/c7o9h7gy4QdU4K7o2ua8bXNe9pcnlxw97ujH7MDwH9Q0H0mupb7RWDM3b8UhQu/zyS9L9pnprn7/cBVwPOBQ82sL7qrZceloiUAPwGOjVpczgNeB1zS5jK1nZktjBrqYGYLgZcCN1bfqlAuAVZG/68EvtrGsuRGfICL/CkF3GeiRl3nA7e4+0dL7ir0PlPpfSn6PmNmS8zs0Oj/g4FTCO0jrgT+IlqtZftLoXoBAETdTv4v0Atscvd1bS5S25nZEwhn/QB9wGeL+r6Y2eeA5YQZuu4G3g98BbgYWApsB17j7oVqEFfhfVlOqMp1YAI4O77uXRRm9kLge8ANwIEo/D7C9e7C7jNV3pfXU+B9xsyeSWjk10s4Ab/Y3f8++g2+CFgEXAu80d33NL08RUsAREREpHiXAERERAQlACIiIoWkBEBERKSAlACIiIgUkBIAERGRAlICICIVmdmZZuZmtjwHZXmMmf3OzN7ShMe+wMwyd4kys+PN7ICZvaiR5RJpJiUAIg1mZsujg2b8N2VmvzWzG81si4UpqZOGpW6LqLznxQOU5Ng/EEbU29zugpRz9+sI40V8JE+frUg1GgdApMGis+Urgc8BlxLmoHgU8BTCLF9LgcsJg8Pc36Zi/l40re/7gWPcfaLsvl7CjGV7o+Fb28LMjiYMHPNud1/fhMfvB3rdffccHuMk4DvAK9396w0rnEiT9NVeRUQy+qm7f6Y0YGbvAv6FMP/35wiTLzWMmT0qmn61Idx9Cphq1OPNwdmE0eM+14wHd/d9wL45Psz3CEnKWwElAJJ7ugQg0kLRRCjvBr4PnBoNmQpUvw4dXUq4oGR5MIqdZ2Z/GU3j/Ajwiej+p5rZBjO7ycweNLNd0TpvKXvcCwhn/wC/KrlscV50f2IbADM73Mw+aWa3m9ne6PaTZra4bL14+5PN7P8zs1+a2R4zu9XMVlK/1wDj0WRVpY8fX24508xGzOznZrbbzG4ws1dE6zzDzL4RtR/YaWYfj874Z7wP5e99HDOzR5vZRjO7J3rsq83seeUF9FCd+k3C53pIitcm0haqARBpj/OBFwKvICQDWb0aeAdhmtVPAfFUtMuBk4CvAb8CFhIOoqNmdri7/2O03r8Df0CYmOWdwL1R/PpKT2hmjwZ+ADwJ2AT8lDDf+znAyWZ2QkItxIeAg6Pn2xOte4GZbXP3q6u9QDM7gnD55ONVVnsbcBjwn8BuwnvyFTN7DWHWuc8RrtG/FPhrQluCf6j2vCW+CewA/h5YTKi9udTMBhNe5w8JtRUvBL5R5+OLtIUSAJH2iA+wT57j4/z/7d1PiFZVGMfx74NBrQSnP6Qgg/0bGUFkKBASV0rNYKggQjKbsCiyVUGFYehOB8GNyqQbQ6pFom6KcDELCRKkf6KGQrOJbDFMkWmLGnhaPOfSnct937nvvI73He7vszkz5z33nMOA3uf8fdcAa939p0L+aXcfz2eY2RFgAnjfzA67+7/u/o2ZXSECgPPFPQAtvAs8Dexx9+O5+n8AjqbP9xWeeRB4zt3/SWXPAJPAW0DbAAAYTOnPbcqsAAbd/c9U/wTwI3AW2JH7mt5xM/uWCBiqBgDfufub2S9mdp34op9dRECTl/VxDQoApMdpCUCkHtlIfWmX9XxR8vLH3e9mP5vZQ2lqvg+4kNpc3UWb24kR8YlC/kfEDML2kmeOZy//1L9fgZtEIDGXR1Pa7tv0TmUv/1T/FeJvfCv38s98DTzewTT9kcLvEykt6/t0Sh+rWLdIbTQDIFKP7MV/u22pud0sy0wvt/3ATmBlSZFlXbS5iliPn8lnuvuMmd0AhkqemSzJmwb6K7SXrc23O15XVv8fwC8t8iGm8+9UaH9W3e4+nU76PVxSNuujjldJz1MAIFKPtSm9kctrtQGw3b/Tv1vkfwpsIUbpF4nR8wwwQqz13+/Zv1YnCaqcmZ9Kad886m93gqHSef10EqLq81kfp0o+E+kpCgBE6rE7pfnjYr8DmFmfu+enu5/opOJ0oc8WYh/AG4XPNpU80ulodRIYMLMH8rMAKVB5hvLReDeuEX2sslxQt6dSerXWXohUoD0AIveRmS0xs8PELvEvCzvgs+n84kv6nQ6byUass0aoZrYceLWkfDYN3m6EnXeeWJcv1vVayj9XsZ5K3H0KuA6sv5f1LpD1xEzLXBsbRWqnGQCRhTNkZqPp5/xNgP3EZrxdhfKfEcflTpjZamKNfBh4pJNG3f0vM7sAjKa7AS6nNl8njgQW164vpfSQmX1CHKO76u6tRrFjxJHCY2Y2BHxPHAPcTSxpjHXS34o+B/aZ2XJ3/20B6u9augJ4GPjK3avsLRCplWYARBbOy8Bp4GPgILCZuCp22N1fyO9aB3D328Qa/TVgL3AAuAW8OI+2R4kz+i8RR/O2AR8Ax4oF0yzEe8CT/H9mfkerilO/nyd2/Y8Q5/NHiHsINtzLmwhzThLLAMWgqZdsJK55Hp+roEgv0HcBiMiiYGbjxEU+A+nq3p5iZueIAOBZ13+ssghoBkBEFosPieWLV+ruSJGZrQO2Am/r5S+LhWYAREREGkgzACIiIg2kAEBERKSBFACIiIg0kAIAERGRBlIAICIi0kAKAERERBpIAYCIiEgDKQAQERFpoP8A3uo/83dLSeQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 8))\n",
    "\n",
    "plt.plot(df['Duration'], df['Calories'], 'bo');\n",
    "plt.xlabel('Duration (min)', size = 18); plt.ylabel('Calories', size = 18); \n",
    "plt.title('Calories burned vs Duration of Exercise', size = 20);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create the features and response\n",
    "X = df.loc[:, ['Intercept', 'Duration']]\n",
    "y = df.ix[:, 'Calories']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Implement Ordinary Least Squares Linear Regression by Hand"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [],
   "source": [
    "# Takes a matrix of features (with intercept as first column) \n",
    "# and response vector and calculates linear regression coefficients\n",
    "def linear_regression(X, y):\n",
    "    # Equation for linear regression coefficients\n",
    "    beta = np.matmul(np.matmul(np.linalg.inv(np.matmul(X.T, X)), X.T), y)\n",
    "    return beta"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Intercept calculated by hand: -21.82810252605084\n",
      "Slope calculated by hand:  7.169783349587853\n"
     ]
    }
   ],
   "source": [
    "# Run the by hand implementation\n",
    "by_hand_coefs = linear_regression(X, y)\n",
    "print('Intercept calculated by hand:', by_hand_coefs[0])\n",
    "print('Slope calculated by hand: ', by_hand_coefs[1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xs = np.linspace(4, 31, 1000)\n",
    "ys = by_hand_coefs[0] + by_hand_coefs[1] * xs\n",
    "\n",
    "plt.figure(figsize=(8, 8))\n",
    "plt.plot(df['Duration'], df['Calories'], 'bo', label = 'observations', alpha = 0.8);\n",
    "plt.xlabel('Duration (min)', size = 18); plt.ylabel('Calories', size = 18); \n",
    "plt.plot(xs, ys, 'r--', label = 'OLS Fit', linewidth = 3)\n",
    "plt.legend(prop={'size': 16})\n",
    "plt.title('Calories burned vs Duration of Exercise', size = 20);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Prediction for Datapoint"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Exercising for 15.5 minutes will burn an estimated 89.30 calories.\n"
     ]
    }
   ],
   "source": [
    "print('Exercising for 15.5 minutes will burn an estimated {:.2f} calories.'.format(\n",
    "    by_hand_coefs[0] + by_hand_coefs[1] * 15.5))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Verify with Scikit-learn Implementation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Intercept from library: -21.828102526050813\n",
      "Slope from library: 7.169783349587853\n"
     ]
    }
   ],
   "source": [
    "# Create the model and fit on the data\n",
    "lr = LinearRegression()\n",
    "lr.fit(X.Duration.reshape(-1, 1), y)\n",
    "print('Intercept from library:', lr.intercept_)\n",
    "print('Slope from library:', lr.coef_[0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Bayesian Linear Regression\n",
    "\n",
    "### PyMC3 for Bayesian Inference\n",
    "\n",
    "Implement MCMC to find the posterior distribution of the model parameters. Rather than a single point estimate of the model weights, Bayesian linear regression will give us a posterior distribution for the model weights."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Model with 500 Observations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "with pm.Model() as linear_model_500:\n",
    "    # Intercept\n",
    "    intercept = pm.Normal('Intercept', mu = 0, sd = 10)\n",
    "    \n",
    "    # Slope \n",
    "    slope = pm.Normal('slope', mu = 0, sd = 10)\n",
    "    \n",
    "    # Standard deviation\n",
    "    sigma = pm.HalfNormal('sigma', sd = 10)\n",
    "    \n",
    "    # Estimate of mean\n",
    "    mean = intercept + slope * X.loc[0:499, 'Duration']\n",
    "    \n",
    "    # Observed values\n",
    "    Y_obs = pm.Normal('Y_obs', mu = mean, sd = sigma, observed = y.values[0:500])\n",
    "    \n",
    "    # Sampler\n",
    "    step = pm.NUTS()\n",
    "\n",
    "    # Posterior distribution\n",
    "    linear_trace_500 = pm.sample(1000, step)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Model with all Observations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Multiprocess sampling (2 chains in 2 jobs)\n",
      "NUTS: [sigma_log__, slope, Intercept]\n",
      "The acceptance probability does not match the target. It is 0.9876388940291865, but should be close to 0.8. Try to increase the number of tuning steps.\n",
      "The acceptance probability does not match the target. It is 0.9933390669386344, but should be close to 0.8. Try to increase the number of tuning steps.\n",
      "The number of effective samples is smaller than 25% for some parameters.\n"
     ]
    }
   ],
   "source": [
    "with pm.Model() as linear_model:\n",
    "    # Intercept\n",
    "    intercept = pm.Normal('Intercept', mu = 0, sd = 10)\n",
    "    \n",
    "    # Slope \n",
    "    slope = pm.Normal('slope', mu = 0, sd = 10)\n",
    "    \n",
    "    # Standard deviation\n",
    "    sigma = pm.HalfNormal('sigma', sd = 10)\n",
    "    \n",
    "    # Estimate of mean\n",
    "    mean = intercept + slope * X.loc[:, 'Duration']\n",
    "    \n",
    "    # Observed values\n",
    "    Y_obs = pm.Normal('Y_obs', mu = mean, sd = sigma, observed = y.values)\n",
    "    \n",
    "    # Sampler\n",
    "    step = pm.NUTS()\n",
    "\n",
    "    # Posterior distribution\n",
    "    linear_trace = pm.sample(1000, step)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Bayesian Model Results\n",
    "\n",
    "The Bayesian Model provides more opportunities for interpretation than the ordinary least squares regression because it provides a posterior distribution. We can use this distribution to find the most likely single value as well as the entire range of likely values for our model parameters.\n",
    "\n",
    "PyMC3 has many built in tools for visualizing and inspecting model runs. These let us see the distributions and provide estimates with a level of uncertainty, which should be a necessary part of any model."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Trace of All Model Parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x864 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pm.traceplot(linear_trace, figsize = (12, 12));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Posterior Distribution of Model Parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x720 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pm.plot_posterior(linear_trace, figsize = (12, 10), text_size = 20);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Confidence Intervals for Model Parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAaIAAAEkCAYAAABt4jWqAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAHb5JREFUeJzt3X+clXWd9/HXW6UUcbGAVtckwowtuTe2Bu+0HkE57g4aUsgdtGGo+GMRb2XTdsFQ88cae6uF5o/8AcJKd1DK/VBKMfAWenRjOlCs4hYpk9tUkoybKEKG8rn/OBfrJQ4MM8zM95z5vp+Px3nMda7rOtd5f+eaOZ/5fr/XOaOIwMzMLJX9UgcwM7O8uRCZmVlSLkRmZpaUC5GZmSXlQmRmZkm5EJmZWVIuRGZmNUTSSEm/SZ2jM7kQmZklJulZSdskbZG0UdI8SX264HkGSQpJB3T2sfeFC1GGJF0oaZ2kpyRNK63/qqTfSlpb3E4q1n9M0hOSGiW9r1h3qKSHJGk3z9FL0ixJTxfP9bikUfuQeZCkdcVynaQbS5kv3tP+7XiOLXuxzzRJvdtz3I4oXojGdfXzWFUZHRF9gGHAXwMzEufpNi5EmZE0FDgbOBb4EPBpSUeXdvlGRAwrbg8U6y4CTgUuAaYU6y4FrondfzTHVcDhwNCIGAqMBg5pJc/+7W1DRKyOiAva+7hOMg1oVyHqSBstXxGxEXiISkHaLUkXSXpe0nOSziitP1nSzyS9JKlZ0ldLD/tR8fXFovd1XKc3oANciPLzAeAnEbE1Il4DVgKfbeMx24GDqLwAb5d0FHBERKxsbeeix3A28D8j4lWAiPh9RHy32L5F0pWSHgOOk/QRSSslrSl6WYcX+31E0r9JehSYWjr+SEnfLz3lhyT936L3dXYrefaXdG3Ro3tC0rl7amxx/BWS7pH0C0nfVsUFwF8Aj0h6pNj3byQ9Kumnkr63czilGGq5TNKPgX+U9Hjp+IMkPVEsX1bkWifp9tZ6mEXP8t+L7NftKbvVPknvBkYBz+xht8OAvsARwGTgZknvKLa9AnwROBQ4GZgi6TPFtk8UXw+NiD4R8Whn5++QiPAtoxuVQvRLoB+VwvIo8M1i21eBZ4EngLnAO4r1w4CfAI8A7wYWAkfv4Tn+CvjZHrYH8LliuRewChhQ3B8PzC2WnwBGFMvXAuuK5ZHA90uZ/41KoewPNFMpFoNK+58DzCyW3w6sBt7bSq4tpeNvLtq6X/E9+nix7Vmgf7Hcn8pfmAcX9/8JuKy03z+Wjr0WGFzab2eed5b2uZvK8AzAPGAc8E5gPaBi/aGpf4Z86/xb8fOyBXi5+P14eHfnuvj53AYcUFr3PPDR3ew/m8pIB8XvRZQfWw0394gyExE/B/4FWAYspfIi/lqx+VbgKCqF5zng+uIxayPioxHxSWAw8DtAkhZJWiDpz9sZ43Xg3mJ5CDAUWCZpLTATeLekvlR+EXf2uu7ew/Hui4htEdFCpVgeu8v2vwG+WBz/MSpF+Gj27PGI+E1E7KBSRAa1ss9HgQ8C/6849iTgPaXti0rL3wU+VyyPL237pKTHJD0JfAo4ZpfneAn4I3CnpLHA1jZyW+36TEQcQqXQ/CXQX9LAYgRhyy5zmC9EZURjp63Azt74f5f0iKRNkjYDf0/lj6aqVVVXTlj3iIg5wBwASdcAvynW/37nPpLuAMrDXxTDRjOpvJDeBFxO5QX6AuArpV2fAQZKOiQiXm4lwh8j4vWdhwWeiog3jVVLOpTKX2571aQ27ovKMOFDe3k8gFdLy6/T+u+KgGUR8fndHOOV0vIi4HuSFgMREU9LOhC4BaiLiJ1j+QeWDxARr0k6FjgBmACcT6VgWQ8VESslzQOui4jPUBSYdvjfVH4/R0XEHyXN5o1CVJX/bsE9ogxJelfxdSAwFvhOcf/w0m6fBXa96mwS8IOI+AOVYb0dxe1Nk/cRsZVKobtR0tt2HlvSxFbirAcG7Jw0VeVqu2Mi4kVgs6SPF/t9YQ9NGiPpQEn9qPw12bjL9oeojJP3Kp7j/ZIO3sPx9uRl3rjo4ifAx/TGlYS9Jb2/tQdFxAYqBe1S3ugN7Sw6LcXc0luukivW943KhSPTaGMC23qM2cCJkjpyvg8B/rMoQscCf1fatonK7+zgTsjYadwjytO9xYv2dmBqUVgA/lfxgx9Uxqz/a1K/uABhEpVhLoCvUxle+xPQWo9gJnA18O+S/kild3DZrjtFxJ9UuUz5xmI47gAqv4RPAWcAcyVtpVJMdudx4AfAQOCqiPidpEGl7XdS6bn9tOjVbQI+Q8fcDjwo6bmI+KSk04HvSHp7sX0mlTm41iyiMtf1XoCIeLHoeT5J5fu9awGFyovKfUXvScA/dDC31ZCI2CTpX6n84XJqOx9+HnC9pJuoXIz0XSoXLhARWyX9M5Xh5F5AQ0T8pBOjd8jOCVAzM7MkPDRnZmZJuRCZmVlSLkRmZpaUC5GZmSXlQmRmZklle/l2Q0NDtLS0pI5hZnthzZo1D0VEQ6rn79+/fwwaNCjV09esNWvWtETEgLb2y/ny7Wwbnrv6+noAli9fnjiJtUOr/26ku9TV1cXq1atTRqhJktZERF1b+2XbI7J8jR8/PnUEMytxIbLsnH32W/5ThJkl5IsVzMwsKRciy87IkSMZOXJk6hhmVvDQnGXn9NNPTx3BzEpciCw7LkRm1cVDc5ad7du3s3379tQxzKzgHpFl58QTTwRgxYoVaYOYGeBCZBk666yzUkcwsxIXIsvOxImt/cdyM0vFc0SWna1bt7J169bUMcys4B6RZeekk04CPEdkVi1ciCw7U6ZMSR3BzEpciCw7/tBTs+riOSLLzubNm9m8eXPqGGZWcI/IsjNmzBjAc0Rm1cKFyLJzwQUXpI5gZiUuRJadsWPHpo5gZiWeI7LstLS00NLSkjqGmRXcI7LsjBs3DvAckVm1cCGy7Fx00UWpI5hZiQuRZWf06NGpI5hZieeILDsbN25k48aNqWOYWcE9IsvOhAkTAM8RmVULFyLLzvTp01NHMLMSFyLLTkNDQ+oIZlbiOSLLTnNzM83NzaljmFnBPSLLzmmnnQZ4jsisWrgQWXZmzpyZOoKZlbgQtcOvX9jK5PmNNG16hcEDDmbOpOEM7Nc7dSxrp/r6+tQRzKzEc0Tt8IlrH+Hp57fwegRPP7+FyfMbU0eyDmhqaqKpqSl1DDMruBDtpUHTf/CWdU8/v6XV9VbdzjzzTM4888zUMcys4KG5vfTsrJM58esr2bBpCzsC9hMcNaAPy740InU0a6crrrgidQQzK3GPqB3mTBrOUQP6sL/EUQP6MGfS8NSRrANGjBjBiBH+A8KsWrhH1A4D+/V2D6gHWL9+PQBDhgxJnMTMoJ09IknPSurfxj6nS/qLfYvVcamf36rfueeey7nnnps6hpkVuqJHdDqwDvjd3j5A0gER8Vqq57e8XHPNNakjmFlJhwqRpEHAg8CPgeOB3wJjgJOBOuDbkrYBxwEfBL4O9AFagNMj4jlJK4BVwMeA+yUtAL4FDC6eZkpErJI0EbgAeBvwGHBeRLwuaQtwG/BJ4A/ABGDErs8fEds60sbW+H1EPcPxxx+fOoLVOL8WdK59uVjhaODmiDgGeBE4NSLuAVYDX4iIYcBrwDeBcRHxEWAu8M+lYxwaESMi4nrgRmBlRHwI+DDwlKQPAOOBjxXHex34QvHYg4GfRsSHgZXA5bs+f2cWoUHTf+D3EfUQ69atY926daljWA2bPL+RDZsqrwUbNvm1YF/ty9DcryJibbG8BhjUyj5DgKHAMkkA+wPPlbYvKi1/CvgiQES8DmyWdBrwEaCxePxBwPPF/jtKj18ALN6HtuzR7t4rtPN9RM/OOrmrntq6wPnnnw/4s+as45o2vcKOqCzviMp967h9KUSvlpZfp1IkdiXgqYg4bjfHaOvsCZgfETP2Ik/sxT4dsrPQ+H1EPcO1116bOoLVuMEDDn7Ta8HgAQenjlTTuuJ9RC8DhxTL64EBko4DkNRL0jG7edzDwJRiv/0l/VmxbpykdxXr3ynpPaXs44rlv6MyX7Xr83cqv4+oZxg+fDjDh/vcWcf5taBzdcVVc/OAb5UuVhgH3Cipb/F8s4GnWnnchcDtkiZT6WFNiYhHJc0EfihpP2A7MBX4Dyq9qWMkrQE2U5lLesvzd+Y8kd9H1DOsXVsZUR42bFjiJFar/FrQuRTRZSNaXUrSlojosw+HqM2G2z4bOXIk4DmiGqOUT15XVxerV69OGaEmSVoTEXVt7edPVrDszJ49O3UEMyup2UK0j70hy5iH5Myqiz/01LLT2NhIY6Pf92FWLWq2R2TWUV/+8pcBzxGZVQsXIsvOTTfdlDqCmZW4EFl2hg4dmjqCmZV4jsiys2rVKlatWpU6hpkV3COy7FxyySWA54jMqoULkWXntttuSx3BzEpciCw7/hfhZtXFc0SWnZUrV7Jy5crUMcys4B6RZefyyy8HPEdkVi1ciCw7c+fOTR3BzEpciCw7gwcPTh3BzEo8R2TZWb58OcuXL08dw8wK7hFZdq6++moA6uvrEycxM3AhsgzdfffdqSOYWYkLkWXnyCOPTB3BzEo8R2TZWbp0KUuXLk0dw8wK7hFZdmbNmgVAQ0ND4iRmBi5ElqGFCxemjmBmJS5Elp3DDjssdQQzK/EckWVnyZIlLFmyJHUMMyu4R2TZuf766wEYPXp04iRmBi5ElqF77rkndQQzK3Ehsuz0798/dQQzK/EckWVn8eLFLF68OHUMMyu4R2TZufHGGwEYO3Zs4iRmBi5ElqH77rsvdQQzK3Ehsuz07ds3dQQzK/EckWVn0aJFLFq0KHUMMyu4R2TZufXWWwEYP3584iRmBi5ElqEHHnggdQQzK3Ehsuz07t07dQQzK/EckWVnwYIFLFiwIHUMMyu4R2TZufPOOwGYOHFi4iRmBi5ElqFly5aljmBmJS5Elp1evXqljmBmJZ4jsuzMmzePefPmpY5hZgUXIsuOC5FZdfHQnGVnxYoVqSOYWYl7RGZmlpQLkWXnjjvu4I477kgdw8wKLkSWHX/oqVl18RyRZWf58uWpI5hZiXtEZmaWlAuRZeeWW27hlltuSR3DzAouRJadJUuWsGTJktQxzKzgOSLLzoMPPpg6gpmVuEdkZmZJuRBZdm644QZuuOGG1DHMrOBCZNl5+OGHefjhh1PHMLOC54gsO/fff3/qCGZW4h6RmZkl5UJk2bnuuuu47rrrUscws4KH5iw7jz76aOoIZlbiQmTZuffee1NHMLMSD82ZmVlSLkSWnVmzZjFr1qzUMcys4KE5y87atWtTRzCzEhciy87ChQtTRzCzEg/NmZlZUi5Elp2rrrqKq666KnUMMyt4aM6ys379+tQRzKzEhciys2DBgtQRzKzEQ3NmZpaUe0SWncsuuwyAK6+8MnGSN/z6ha1Mnt9I06ZXGDzgYOZMGs7Afr1TxzLrFu4RWXaam5tpbm5OHeNNJs9vZMOmLbwewYZNW5g8vzF1JLNu4x6RZeeuu+5KHeEtmja9wo6oLO+Iyn2zXLhHZFYFBg84mP1UWd5PlftmuXAhsuzMmDGDGTNmpI7xJnMmDeeoAX3YX+KoAX2YM2l46khm3cZDc5adF154IXWEtxjYrzfLvjQidQyzJFyILDu333576ghmVlJVQ3OS5kkalzqHmZl1H/eILDsXX3wxANddd13iJG/w+4hqi89X50rSI5K0f9H7WSfpSUn/0Mo+J0j6WbF9rqS3F+uflfQvkh4vbu8r1g+QdK+kxuL2se5ul9WGbdu2sW3bttQx3sTvI6otPl+dK1WPaBhwREQMBZB0aHmjpAOBecAJEfFLSf8KTAFmF7u8FBHHSvpise7TwA3ANyLix5IGAg8BH+iW1lhNufnmm1NHeAu/j6i2+Hx1rlRzRE3AYEnflNQAvLTL9iHAryLil8X9+cAnStu/U/p6XLFcD9wkaS1wP/Bnkg7pkvRmnczvI6otPl+dK0khiog/AB8CVgBTgTt32UVtHaKV5f2A4yJiWHE7IiJe7oy81rNMmzaNadOmpY7xJn4fUW3x+epcSYbmJPUH/hQR90raQGUYruwXwCBJ74uIZ4DTgJWl7eOBWcXXR4t1PwTOB64tnmNYRKztulaYdR6/j6i2+Hx1rlRzREcAd0na2SN709vcI+KPks4AvifpAKAR+FZpl7dLeoxKL+jzxboLgJslPUGlXT8C/r4L22A1avbs2W3vZGbdRhHR9l5VRNKzQF1EtOzjoWqr4WZ5a2u4vkvV1dXF6tWrU0aoSZLWRERdW/tV1RtazbrD1KlTmTp1auoYZlaouTe0RsSg1Bmsth100EGpI5hZSc0VIrN9VU2fqGBmHpozM7PEXIgsO+eccw7nnHNO6hhmVvDQnGWnX79+qSOYWYkLkWXna1/7WuoIZlbioTkzM0vKhciyc8YZZ3DGGWekjmFmBQ/NWXaOPPLI1BHMrMSFyLJz5ZVXpo5gZiUemjMzs6RciCw7EydOZOLEialjmFnBQ3OWnSFDhqSOYGYlLkSWnUsvvTR1BDMr8dCcmZkl5UJk2ZkwYQITJkxIHcPMCh6as+wMGzYsdQQzK3EhsuxMnz49dQQzK/HQnJmZJeVCZNk59dRTOfXUU1PHMLOCh+YsO8cdd1zqCGZW4kJk2bn44otTRzCzEg/NmZlZUi5Elp1TTjmFU045JXUMMyt4aM6yc8IJJ6SOYGYlLkSWnQsvvDB1BDMr8dCcmZkl5UJk2Rk1ahSjRo1KHcPMCh6as+yMHj06dQQzK3Ehsuycd955qSOYWYmH5szMLCkXIstOfX099fX1qWOYWcFDc5ad8ePHp45gZiUuRJads88+O3UEMyvx0JyZmSXlQmTZGTlyJCNHjkwdw8wKHpqz7Jx++umpI5hZiQuRZceFyKy6eGjOsrN9+3a2b9+eOoaZFdwjsuyceOKJAKxYsSJtEDMDXIgsQ2eddVbqCGZW4kJk2Zk4cWLqCGZW4jkiy87WrVvZunVr6hhmVnCPyLJz0kknAZ4jMqsWLkSWnSlTpqSOYGYlLkSWHX/oqVl18RyRZWfz5s1s3rw5dQwzK7hHZNkZM2YM4Dkis2rhQmTZueCCC1JHMLMSFyLLztixY1NHMLMSzxFZdlpaWmhpaUkdw8wK7hFZdsaNGwd4jsisWrgQWXYuuuii1BHMrMSFyLIzevTo1BHMrMRzRJadjRs3snHjxtQxzKzgHpFlZ8KECYDniMyqhQuRZWf69OmpI5hZiQuRZaehoSF1BDMr8RyRZae5uZnm5ubUMcys4B6RZee0004DPEdkVi1ciCw7M2fOTB3BzEpciCw79fX1qSOYWYnniCw7TU1NNDU1pY5hZgX3iCw7Z555JuA5IrNq4UJk2bniiitSRzCzEhciy86IESNSR8jWr1/YyuT5jTRteoXBAw5mzqThDOzXO3UsS8xzRJad9evXs379+tQxsjR5fiNPP7+F1yN4+vktTJ7fmDqSVQH3iCw75557LuA5ohSaNr2yx/uWJxciy84111yTOkK2Bg84mA2btrAjYD9V7pt5aM6yc/zxx3P88cenjpGlOZOGc9SAPuwvcdSAPsyZNDx1JKsC7hFZdtatWwfA0KFDEyfJz8B+vVn2JV8sYm+WtBBJuhL4UUQsT5nD8nL++ecDniMyqxZJC1FEXJby+S1P1157beoIZlbSLYVI0v7AHKAOCGBuRHxD0jzg+xFxj6STgK8DLcBPgcER8WlJXwXeCxwOvB/4EvBRYBTwW2B0RGyXdBkwGjgIWAWcGxHRHe2z2jJ8uOclUulJ7yPqSW1JrbsuVhgGHBERQyPivwF3lTdKOhC4DRgVER8HBuzy+KOAk4ExwALgkeI424r1ADdFxPCIGEqlGH26y1pjNW3t2rWsXbs2dYws9aT3EU2e38iGTZW2bNhU221JrbsKURMwWNI3JTUAL+2y/S+Bpoj4VXH/O7tsfzAitgNPAvsDS4v1TwKDiuVPSnpM0pPAp4BjOrkN1kNMmzaNadOmpY6RpZ70PqKmTa+woxhz2RG13ZbUumVoLiL+IOlDwN8CU4HPAWeWdlEbh3i1OM4OSdtLQ247gAOKHtUtQF1ENBfDeQd2Zhus55g9e3bqCNnqSe8j6kltSa1bekSS+gP7RcS9wKXAh3fZ5RdUekyDivvj2/kUO4tOi6Q+wLgORrUMDBs2jGHDhqWOkaWe9D6intSW1LrrqrkjgLsk7Sx8M8obI2KbpPOApZJagMfbc/CIeFHSHVSG6p4FPFhru9XYWPnx8EUL3a8nvY+oJ7UlNVXLhWWS+kTEFkkCbgaejohvdOFTVkfDrduNHDkS8PuIakxbw/ddqq6uLlavXp0yQk2StCYi6trar5o+WeFsSZOAtwE/o3IVnVmnu+mmm1JHMLOSqilERe+nK3tAZoA/2ses2vhDTy07q1atYtWqValjmFmhanpEZt3lkksuATxHZFYtXIgsO7fd5ulHs2riQmTZGTJkSOoIZlbiOSLLzsqVK1m5cmXqGGZWcI/IsnP55ZcDniMyqxYuRJaduXPnpo5gZiUuRJadwYMHp45gZiWeI7LsLF++nOXL/d/pzaqFe0SWnauvvhqA+vr6xEnMDFyILEN333136ghmVuJCZNk58sgjU0cwsxLPEVl2li5dytKlS9ve0cy6hXtElp1Zs2YB0NDQkDiJmYELkWVo4cKFqSOYWYkLkWXnsMMOSx3BzEo8R2TZWbJkCUuWLEkdw8wK7hFZdq6//noARo8enTiJmYELkWXonnvuSR3BzEpciCw7/fv3Tx3BzEo8R2TZWbx4MYsXL04dw8wK7hFZdm688UYAxo4dmziJmYELkWXovvvuSx3BzEpciCw7ffv2TR3BzEo8R2TZWbRoEYsWLUodw8wK7hFZdm699VYAxo8fnziJmYELkWXogQceSB3BzEpciCw7vXv3Th3BzEo8R2TZWbBgAQsWLEgdw8wK7hFZdu68804AJk6cmDiJmYELkWVo2bJlqSOYWYkLkWWnV69eqSOYWYnniCw78+bNY968ealjmFnBhciy40JkVl0UEakzJCFpKdCV/w+gP9DShcfvbm5Pdetp7YE3t6klIhpSBZG0CfiPVjYNBH7dzXF21RfYnDjD7r4P74mIAW09ONtC1NUkrY6IutQ5OovbU916WnugNtokadPevNB2cYbbI+KcxBn26fvgoTkzs457MXUAYEnqAOzj98GFyMys41IPiRER1VCI9un74ELUdW5PHaCTuT3Vrae1B2qjTbWQsTvs0/fBc0RmZpaUe0RmZpaUC1Enk3StpF9IekLS/5F0aGnbDEnPSFov6W9T5txbkv6HpKck7ZBUt8u2mmsPgKSGIvMzkqanztNekuZKel7SutK6d0paJunp4us7UmZsD0lHSnpE0s+Ln7ULi/VV26bWzkFudnfeOsKFqPMtA4ZGxF8BvwRmAEj6IDABOAZoAG6RtH+ylHtvHTAW+FF5Za22p8h4MzAK+CDw+aIttWQele952XTg4Yg4Gni4uF8rXgMuiogPAB8FphbnpJrbNI+3noPc7O68tZsLUSeLiB9GxGvF3Z8A7y6WxwALI+LViPgV8AxwbIqM7RERP4+I9a1sqsn2UMn4TEQ0RcSfgIVU2lIzIuJHwH/usnoMML9Yng98pltD7YOIeC4iflosvwz8HDiCKm7Tbs5BVvZw3trNhahrnQk8WCwfATSXtv2GDp60KlGr7anV3G3584h4DiovEMC7EufpEEmDgL8GHqOHtCkHu5y3dvOnb3eApOXAYa1s+kpE3Ffs8xUqXddv73xYK/tXxSWLe9Oe1h7WyrqqaE8bajV3jyepD3AvMC0iXpJaO1VWbXY9bx05hgtRB0RE/Z62S5oEfBo4Id64Pv43wJGl3d4N/K5rErZPW+3ZjaptTxtqNXdbfi/p8Ih4TtLhwPOpA7WHpF5UXsy+HRGLi9U13aYc7Oa8tZuH5jqZpAbgn4BTImJradP9wARJb5f0XuBo4PEUGTtJrbanETha0nslvY3KBRf3J87UGe4HJhXLk4Dd9WSrjipdnznAzyPi66VNNdumHOzhvLVfRPjWiTcqk/bNwNri9q3Stq8AG4D1wKjUWfeyPZ+l0ot4Ffg98FAtt6fIfRKVKxo3UBl+TJ6pnfm/AzwHbC/OzWSgH5Ury54uvr4zdc52tOfjVIZHnyj93pxUzW1q7RykzlQt560jx/InK5iZWVIemjMzs6RciMzMLCkXIjMzS8qFyMzMknIhMjOzpFyIzMwsKRciMzNLyoXIzMyS+v98u7Ez+wFelgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pm.forestplot(linear_trace);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Predictions of Response Sampled from the Posterior\n",
    "\n",
    "We can now generate predictions of the linear regression line using the model results. The following plot shows 1000 different estimates of the regression line drawn from the posterior. The distribution of the lines gives an estimate of the uncertainty in the estimate. Bayesian Linear Regression has the benefit that it gives us a posterior __distribution__ rather than a __single point estimate__ in the frequentist ordinary least squares regression."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## All Observations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (8, 8))\n",
    "pm.plot_posterior_predictive_glm(linear_trace, samples = 100, eval=np.linspace(2, 30, 100), linewidth = 1, \n",
    "                                 color = 'red', alpha = 0.8, label = 'Bayesian Posterior Fits',\n",
    "                                lm = lambda x, sample: sample['Intercept'] + sample['slope'] * x);\n",
    "plt.scatter(X['Duration'], y.values, s = 12, alpha = 0.8, c = 'blue', label = 'Observations')\n",
    "plt.plot(X['Duration'], by_hand_coefs[0] + X['Duration'] * by_hand_coefs[1], 'k--', label = 'OLS Fit', linewidth = 1.4)\n",
    "plt.title('Posterior Predictions with all Observations', size = 20); plt.xlabel('Duration (min)', size = 18);\n",
    "plt.ylabel('Calories', size = 18);\n",
    "plt.legend(prop={'size': 16});"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>mean</th>\n",
       "      <th>sd</th>\n",
       "      <th>mc_error</th>\n",
       "      <th>hpd_2.5</th>\n",
       "      <th>hpd_97.5</th>\n",
       "      <th>n_eff</th>\n",
       "      <th>Rhat</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Intercept</th>\n",
       "      <td>-21.805933</td>\n",
       "      <td>0.322550</td>\n",
       "      <td>0.011807</td>\n",
       "      <td>-22.465744</td>\n",
       "      <td>-21.209683</td>\n",
       "      <td>736.0</td>\n",
       "      <td>0.999821</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>slope</th>\n",
       "      <td>7.168752</td>\n",
       "      <td>0.018153</td>\n",
       "      <td>0.000681</td>\n",
       "      <td>7.131481</td>\n",
       "      <td>7.202292</td>\n",
       "      <td>707.0</td>\n",
       "      <td>0.999527</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>sigma</th>\n",
       "      <td>18.387170</td>\n",
       "      <td>0.106938</td>\n",
       "      <td>0.004344</td>\n",
       "      <td>18.169925</td>\n",
       "      <td>18.588937</td>\n",
       "      <td>426.0</td>\n",
       "      <td>1.012243</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                mean        sd  mc_error    hpd_2.5   hpd_97.5  n_eff  \\\n",
       "Intercept -21.805933  0.322550  0.011807 -22.465744 -21.209683  736.0   \n",
       "slope       7.168752  0.018153  0.000681   7.131481   7.202292  707.0   \n",
       "sigma      18.387170  0.106938  0.004344  18.169925  18.588937  426.0   \n",
       "\n",
       "               Rhat  \n",
       "Intercept  0.999821  \n",
       "slope      0.999527  \n",
       "sigma      1.012243  "
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pm.df_summary(linear_trace)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Limited Observations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (8, 8))\n",
    "pm.plot_posterior_predictive_glm(linear_trace_500, samples = 100, eval=np.linspace(2, 30, 100), linewidth = 1, \n",
    "                                 color = 'red', alpha = 0.8, label = 'Bayesian Posterior Fits',\n",
    "                                lm = lambda x, sample: sample['Intercept'] + sample['slope'] * x);\n",
    "plt.scatter(X['Duration'][:500], y.values[:500], s = 12, alpha = 0.8, c = 'blue', label = 'Observations')\n",
    "plt.plot(X['Duration'], by_hand_coefs[0] + X['Duration'] * by_hand_coefs[1], 'k--', label = 'OLS Fit', linewidth = 1.4)\n",
    "plt.title('Posterior Predictions with Limited Observations', size = 20); plt.xlabel('Duration (min)', size = 18);\n",
    "plt.ylabel('Calories', size = 18);\n",
    "plt.legend(prop={'size': 16});"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>mean</th>\n",
       "      <th>sd</th>\n",
       "      <th>mc_error</th>\n",
       "      <th>hpd_2.5</th>\n",
       "      <th>hpd_97.5</th>\n",
       "      <th>n_eff</th>\n",
       "      <th>Rhat</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Intercept</th>\n",
       "      <td>-22.854865</td>\n",
       "      <td>1.776303</td>\n",
       "      <td>0.047775</td>\n",
       "      <td>-26.307522</td>\n",
       "      <td>-19.569343</td>\n",
       "      <td>1076.0</td>\n",
       "      <td>0.999589</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>slope</th>\n",
       "      <td>7.355138</td>\n",
       "      <td>0.097234</td>\n",
       "      <td>0.002733</td>\n",
       "      <td>7.171244</td>\n",
       "      <td>7.543756</td>\n",
       "      <td>1063.0</td>\n",
       "      <td>0.999530</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>sigma</th>\n",
       "      <td>18.206843</td>\n",
       "      <td>0.552285</td>\n",
       "      <td>0.016451</td>\n",
       "      <td>17.129418</td>\n",
       "      <td>19.296164</td>\n",
       "      <td>1083.0</td>\n",
       "      <td>1.002193</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                mean        sd  mc_error    hpd_2.5   hpd_97.5   n_eff  \\\n",
       "Intercept -22.854865  1.776303  0.047775 -26.307522 -19.569343  1076.0   \n",
       "slope       7.355138  0.097234  0.002733   7.171244   7.543756  1063.0   \n",
       "sigma      18.206843  0.552285  0.016451  17.129418  19.296164  1083.0   \n",
       "\n",
       "               Rhat  \n",
       "Intercept  0.999589  \n",
       "slope      0.999530  \n",
       "sigma      1.002193  "
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pm.df_summary(linear_trace_500)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Specific Prediction for One Datapoint"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "bayes_prediction = linear_trace['Intercept'] + linear_trace['slope'] * 15.5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (8, 8))\n",
    "plt.style.use('fivethirtyeight')\n",
    "sns.kdeplot(bayes_prediction, label = 'Bayes Posterior Prediction')\n",
    "plt.vlines(x = by_hand_coefs[0] + by_hand_coefs[1] * 15.5, \n",
    "           ymin = 0, ymax = 2.5, \n",
    "           label = 'OLS Prediction',\n",
    "          colors = 'red', linestyles='--')\n",
    "plt.legend();\n",
    "plt.xlabel('Calories Burned', size = 18), plt.ylabel('Probability Density', size = 18);\n",
    "plt.title('Posterior Prediction for 15.5 Minutes', size = 20);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "hide_code_all_hidden": false,
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
